On finite groups isospectral to U 3(3)

Yu V. Lytkin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The spectrum of a finite group is the set of all its element orders. A finite group G is called critical with respect to a subset ω of natural numbers, if ω coincides with the spectrum of G and does not coincide with the spectrum of any proper section of G. We study the structure of groups isospectral to a simple unitary group PSU(3, 3). In particular, we give a description of the finite groups critical with respect to the spectrum of PSU(3, 3).

Original languageEnglish
Pages (from-to)633-643
Number of pages11
JournalSiberian Mathematical Journal
Volume58
Issue number4
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • critical group
  • finite group
  • nonabelian simple group
  • spectrum
  • UNRECOGNIZABILITY
  • SPECTRUM

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